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3 years ago

Compare -5 and -3.

Mathematics

1 answer:

Nuetrik [128]3 years ago

7 0

Answer:

Simplifying then comparing both terms

−5 and −3, −5 is less than −3, which means that the first term is less than the second term. −5 < −3

Step-by-step explanation:

Hope this helps have a good day^^

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Find the coterminal angle between 0 and 360°of the angle -280°

Bond [772]

Answer: So, the coterminal angle of 450° is -90°.

Step-by-step explanation:(i) 395°

Write 395° in terms of 360°.

395° = 360° + 35°

So, the coterminal angle of 395° is 35◦

(ii) 525°

Write 525° in terms of 360°.

525° = 360° + 165°

So, the coterminal angle of 525° is 165°.

(iii) 1150°

Write 1150° in terms of 360°.

1150° = 3(360°) + 70°

So, the coterminal angle of 1150° is 70°.

(iv) -270°

Write -270° in terms of 360°.

-270° = -360° + 90°

So, the coterminal angle of 270° is 90°.

(v) -450°

Write -450° in terms of 360°.

-450° = -360° - 90°

So, the coterminal angle of 450° is -90°.

8 0

4 years ago

If x+ 1/x=8, find x^2+ 1/x^2

Paraphin [41]

Dude please give me brainliest please :)
Also here’s the answer

6 0

3 years ago

What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8

KengaRu [80]

Answer:

Formula for the Arc length is given by:

$\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}$

As per the statement:

radius of circle(r) = 6 units

Angle ( $\theta$ ) = $\frac{7 \pi}{8}$ radian

Use conversion:

$1 rad = \frac{180}{\pi}$

$\frac{7 \pi}{8}$ = $\frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}$

then;

substitute these given values we have;

Use value of $\pi = 3.14$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375$

Simplify:

$\text{Arc length}=16.485$

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0

3 years ago

A quarter is 1/5 of an inch thick and 5 quarters weigh one ounce. Stephanie built a toothpick bridge that could safely hold 3 po

AleksandrR [38]

Answer:

Maximum height of quarter tower = 9.6 inches.

Step-by-step explanation:

The thickness of a quarter = $\frac{1}{5}$ inches

Weight of a quarter = 1 ounce

The maximum weight that could safely hold = 3 pounds.

<u>The conversion factor for ounce to pound is 1 ounce = 0.0625 pound</u>

The number of quarter used in the tower = no of ounces equivalent to 3 pounds.

No of ounces equivalent to 3 pounds = $\frac{3}{0.0625}$

No of ounces equivalent to 3 pounds = 48

So the height of quarter tower = 48 \times $\frac{1}{5}$ inches

= 9.6 inches.

4 0

3 years ago

Solving the following system using the elimination of substitution method.<br> 5a+3b=11<br> -2a+3=b

PSYCHO15rus [73]

Answer:

a = -2

b = 7

Step-by-step explanation:

5a+3b=11

-2a+3=b

substitute for b:

5a + 3(-2a + 3) = 11

5a -6a + 9 = 11

-a = 2

a = -2

b = 7

4 0

3 years ago